Question

Xsquare-2x+1 =0 then x+1/x =???

Answer 1

x²-2x+1=0

x²-x-x+1=0

x(x-1)-1(x-1)=0

(x-1)(x-1)=0

x=1 and x=1

Therefore,x=1

putting x=1 in x+1/x.

=1+1/1

=2/1

=2

therefore x+1/x=2

Answer 2

Solution:-

=> x² - 2x + 1 = 0

by mid term splitting.

=> x² - x - x + 1 = 0

=> x ( x - 1 ) - 1 ( x - 1 ) = 0

=> ( x - 1 ) ( x - 1 ) = 0

=> x - 1 = 0 or x - 1 = 0

we get x = 1 from both

=> x = 1

put x = 1 in below

=> x + 1/x

=> 1 + 1/1

=> 1 + 1

=> 2

Hence, x + 1/x = 2

i hope it helps you.